Axisymmetric Electromagnetic Oscillations in Open Perfectly Conducting Spherical Cavities

摘要

This investigation concerns the finding of complex eigenvalues of axisymmetric oscillations in acoustical and electromagnetic open spherical cavities. The openings are circular holes or slits. The characteristic equations for the complex eigenvalues are obtained by the Method of Regularization. This approach reduces the problem to finding the complex roots of the determinants of the truncated systems of the algebraic equations. The fast convergence of solution of the truncated system to the exact solution of the infinite system provides any desired accuracy of computations. As examples, calculations of the complex eigenvalues of the sound-hard spherical shell with two symmetric circular holes (spherical "barrel") and of the complex eigenvalues of the TE-modes of the perfectly electrically conducting spherical shell with a single circular aperture are presented.